论文标题
关于Fano品种的曲折几何形状和K稳定性
On toric geometry and K-stability of Fano varieties
论文作者
论文摘要
我们介绍了曲曲诺品种变形理论的某些应用，以对fano品种的k-（半/poly）稳定性。首先，我们提出了两个k-polystable曲曲面的示例3倍，变形受阻。在一种情况下，K-Moduli的空间和堆栈在与感谢您的Fano相关的闭合点附近可还原3倍，而在另一个情况下，它们在与三曲诺的闭合点附近未降低3倍。其次，我们研究了两个光滑Fano的变形家族的K稳定性，通过将变性为3倍的K-Polystable Foric Fano 3倍。
We present some applications of the deformation theory of toric Fano varieties to K-(semi/poly)stability of Fano varieties. First, we present two examples of K-polystable toric Fano 3-fold with obstructed deformations. In one case, the K-moduli spaces and stacks are reducible near the closed point associated to the toric Fano 3-fold, while in the other they are non-reduced near the closed point associated to the toric Fano 3-fold. Second, we study K-stability of the general members of two deformation families of smooth Fano 3-folds by building degenerations to K-polystable toric Fano 3-folds.
